Use the image to answer the question.
A coordinate plane shows four quadrants with both the x-axis and y-axis ranging from negative 10 to 10 in increments of 1. Three points are plotted. One point is located in quadrant two and positioned at 1 increment along the x-axis and 6 increments along the y-axis. One point is located in quadrant 2 and positioned at 3 increments along the x-axis and 2 increments along the y-axis. One point is located in quadrant three and positioned at 5 increments along the x-axis and 2 increments along the y-axis.
Choose the ordered pairs that are plotted on this coordinate grid.
(1 point)
Responses
(5, −2), (3, 2), (1, 6)
left parenthesis 5 comma negative 2 right parenthesis , left parenthesis 3 comma 2 right parenthesis , left parenthesis 1 comma 6 right parenthesis
(−5, −2), (−3, 2), (−1, 6)
left parenthesis negative 5 comma negative 2 right parenthesis , left parenthesis negative 3 comma 2 right parenthesis , left parenthesis negative 1 comma 6 right parenthesis
(−2, −5), (2, −3), (6, −1)
left parenthesis negative 2 comma negative 5 right parenthesis , left parenthesis 2 comma negative 3 right parenthesis , left parenthesis 6 comma negative 1 right parenthesis
(−5, 2), (−3, 2), (−1, 6)
left parenthesis negative 5 comma 2 right parenthesis , left parenthesis negative 3 comma 2 right parenthesis , left parenthesis negative 1 comma 6 right parenthesis
Use the image to answer the question.
A coordinate plane shows four quadrants with both the x-axis and the y-axis ranging from negative 10 to positive 10 in increments of 2. Two points are plotted and joined by a line. The plotted points are as follows: left parenthesis negative 8 comma 0 right parenthesis, left parenthesis 0 comma 4 right parenthesis. A line connects the two plotted points and extends beyond the points in both directions.
Find the slope of the line given its graph.
(1 point)
Responses
2
2
4
4
−12
negative Start Fraction 1 over 2 End Fraction
12
The slope of the line can be found using the formula: slope = (change in y)/(change in x).
To find the change in y, we subtract the y-coordinate of one point from the other: 4 - 0 = 4.
To find the change in x, we subtract the x-coordinate of one point from the other: 0 - (-8) = 8.
Therefore, the slope of the line is 4/8, which simplifies to 1/2.
So, the correct answer is: negative Start Fraction 1 over 2 End Fraction.
Use the image to answer the question.
A coordinate plane shows four quadrants with both the x-axis and the y-axis ranging from negative 10 to positive 10 in increments of 2. Two points are plotted and joined by a line. The plotted points are as follows: left parenthesis negative 4 comma 7 right parenthesis, left parenthesis 4 comma 8 right parenthesis. A line connects the two plotted points and extends beyond the points in both directions.
Find the slope of the line given its graph.
(1 point)
Responses
18
Start Fraction 1 over 8 End Fraction
8
8
1
1
−18
The slope of the line can be found using the formula: slope = (change in y)/(change in x).
To find the change in y, we subtract the y-coordinate of one point from the other: 8 - 7 = 1.
To find the change in x, we subtract the x-coordinate of one point from the other: 4 - (-4) = 8.
Therefore, the slope of the line is 1/8.
So, the correct answer is: Start Fraction 1 over 8 End Fraction.
Use the image to answer the question.
A coordinate plane shows four quadrants with both the x-axis and the y-axis ranging from negative 10 to positive 10 in increments of 2. Two points are plotted and joined by a line. The plotted points are as follows: left parenthesis negative 3 comma 1 right parenthesis, left parenthesis 2 comma negative 4 right parenthesis. A line connects the two plotted points and extends beyond the points in both directions.
Find the slope of the line given its graph.
(1 point)
Responses
−56
negative Start Fraction 5 over 6 End Fraction
−5
negative 5
1
1
−1
The slope of the line can be found using the formula: slope = (change in y)/(change in x).
To find the change in y, we subtract the y-coordinate of one point from the other: -4 - 1 = -5.
To find the change in x, we subtract the x-coordinate of one point from the other: 2 - (-3) = 5.
Therefore, the slope of the line is -5/5, which simplifies to -1.
So, the correct answer is: -1.
so whats all the answers then?
To find the correct ordered pairs that are plotted on the coordinate grid, let's analyze the information given:
- The first point is located in quadrant two and positioned at 1 increment along the x-axis and 6 increments along the y-axis. This corresponds to the point (1, 6).
- The second point is also located in quadrant two and positioned at 3 increments along the x-axis and 2 increments along the y-axis. This corresponds to the point (3, 2).
- The third point is located in quadrant three and positioned at 5 increments along the x-axis and 2 increments along the y-axis. This corresponds to the point (5, -2).
Therefore, the correct ordered pairs that are plotted on this coordinate grid are:
(1, 6), (3, 2), (5, -2)